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(2) The Consumer Price Index (CPI) is a series of price indices calculated by the U.S. Bureau of Labor Statistics (BLS) per month. For policy-makers,

(2) The Consumer Price Index (CPI) is a series of price indices calculated by the U.S. Bureau of Labor Statistics (BLS) per month. For policy-makers, it is important to know how much price change of a component in the market basket affects all-items CPI. Suppose, economists specify changes of monthly CPI as a function of three variables via a linear regression as following.

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